Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic expression means to combine like terms and perform any operations to make the expression as simple as possible.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = 8x.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

Front

Simplify: −4p − (1 − 6p)

Back

2p − 1

Front

Simplify: b − 3 + 6 − 2b

Back

-b + 3

Front

Simplify: 1 + 7(1 − 3b)

Back

-21b + 8

Front

Simplify: 14(b – 10)

Back

14b – 140

Front

Simplify: 6(−5n + 7)

Back

-30n + 42